{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "43e3240c",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "x = np.linspace(0, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5781db59",
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.sin(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f7a746de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2aafd6dd940>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.plot(x, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "eaa4b1ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "siny = y.copy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "78cda093",
   "metadata": {},
   "outputs": [],
   "source": [
    "cosy = np.cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "dfc43ca6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2aafde61df0>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9e0e3a4",
   "metadata": {},
   "source": [
    "关于color参数：https://matplotlib.org/2.0.2/api/colors_api.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "6383c287",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2aafded5400>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "689b6b8e",
   "metadata": {},
   "source": [
    "关于linestyle参数：https://matplotlib.org/devdocs/gallery/lines_bars_and_markers/line_styles_reference.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d3604cbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 1.0)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlim(-5, 15)\n",
    "plt.ylim(0, 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "93d542d0",
   "metadata": {},
   "source": [
    "xlim 知道x轴范围 ylim指定y轴范围"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "981b5b56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-1.0, 11.0, -2.0, 2.0)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.axis([-1, 11, -2, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4469bb3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'y value')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny)\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "43af0489",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2aafe047af0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9a598e10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Welcome to matplotlib world!')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CogwNkybB3/7mt24Pncjnjg+WkhgXzT8u6xyw1eQDU5O4b0g7vlixm08WZwTkGlUJa0ACxe9+Z0Yjv/61WXB4hhzPK+TuD5eRVCuGZ6/oSlhY4NIxRISH8e+ru1O3RiT3fbKC/EI7H+J6/vtfSEuDFSuCc72pU+FPf/LLfIiq8tCElew6cJwXru4W8FDzW/u0olfzejwxZY2dDzkN1oAEiuhoeP99E1t/882UmlehEjz/5UZ27DvGPy/vQu0afnY9lEK9mlE8MaIja3cf4pW5WwJ+PUsA2bQJ7r8f+vc3cxTB4NlnjcEaM8Z8B86AaauymLJiN78f2MYvASOnIyxMePqyzuQXenhgwgrryioHa0ACSceOJtrl88+NMfGRNZmHePXbLVyR3pjeLRP8KLB8hqQlM7xTMs9/uZHNOUeCdl2LH/F4zBqNyEh49VX/TZqfjho14K23IDvb5NbykSMnC3ji8zWkptTi1gta+U3e6Whevyb3D23PnPU5fGxdWWViDUigufNOuOsu6NbNp9MLPcqDn62kTmwkDw3v4Gdxp+fxS9KIiQjjwQkr8XjsnZjreOUV+O47E3HVuHFwr52ebiK+/v1v2LjRpy6en72BrEMn+OuojkRUYpGsPxhzdnN6tajHXz5fQ85hu8C2NKwBCTRFiejS0nw6/d0ftrF85wEevTjVkTQjDeJjePjCVBZs3cfHi21UluvYs8fkrLrhBmeu/+STMG6cT5l712cd5o1527i6VxO6N/VfuHpFCQsTnrq0E8fzC3lmVuBCk92MNSDBYvduuO66nyNhKsD+o3n8a9YGzm9Tn0u6NAyguPK5PL0x6c3q8s+ZGziWV+CYDosPPProzwtcnaBePbj8cnP9/PwKn6aqPDxxJbViIvjjkPYBFFg+LRPjuP7sZny0cAfrsw47piNUsQYkmEyaZOqIVJD/ztnE0ZMFPHxhqqNFcESEB4e3J+fwSV77dqtjOiyVYOvWn3NchULxs3HjoF07OFKxubQvVu5m4bb9PDCsPXUdrttx94A2xMdE8uTUtY7qCEWsAQkWKSnmbvDzz2HWrNM233XgOG//sJ1LuzemXXJ8EASWT49m9Rialsz/vtlsEy66gT/+ES66CPbtc1qJoWVLY9Sef/60TQsKPTwzcwPtkuK5rEeTIIgrnzo1orizf2vmbshhzvozD8mvSlgDEkzuvhuaNTPV3U4TGvis1+f6+0Ftg6GsQtw3tB0nCjz8+0vfJkQtQWLePFP07P77jQspFDjrLLj4YvjHP2D//nKbTli6iy17j/KHwW0JD+B6p8pww9nNaZ5Qgye/WEuBXRf1E9aABJOoKLO4asECmDatzGYbsg8zYUkGY85uRqMQKnTTKjGOq3s14f0fd7B171Gn5VjK4tFHTX2Oe+5xWskv+ctfzJqQf/6zzCYnCwp5fvZGujSuzeDUpCCKK5+oiDDuH9qejXuOMGlZptNyQgZrQILNjTeaEUjXrmU2eXr6empGRfDbvqFVcxrg7gFtiYoI4/nZNiolJPnuO/jqK+PCqlHDaTW/pEsXuPJKeOEFOHSo1CYfLtjJrgPHuW9Ie0fn/UpjSFoy7ZPjefHrTRTakHbAGpDgExlp7sQalh5VtSbzELPXZvObPi0dnzwsjcT4aK7r3YzJyzPZkXvMaTmWkmRlmQWst9zitJLS+dvfzOR+rVOr/x3LK+DfX22id8t6nNs6eAtmK0pYmHBn/zZs2XuUL1budlpOSOB0RcKhIrJeRDaJyAOlHL9PRJZ5t1UiUigi9bzHtonISu8xP9epDQI//AC33nrKXMhL32wmLjqCMec0d0ZXBbj5vBZEhIXx8tzNTkuxlOSyy0y+q1AbfRTRsiX06FHqoXELdrL3yEnuHdwu5EYfRQzrmEzrBnH856uNdmEtDhoQEQkHXgSGAanA1SKSWryNqv5DVbuqalfgQeAbVS0eVtLPe/yUWr0hz/r18L//magsL9v2HuWLFZlce1ZTascGPt+VrzSoFcPl6Y35ZFGGTTYXSnz5JRQUOLfmo6IUpVcpluIkv9DD699u4awW9YKS78pXwsKEO/q1ZkP2EWauyXJajuM4OQLpBWxS1S2qmgd8CIwop/3VwLigKAsG111najP84x8/7Xrl2y1EhIf5tVBOoLilTysKVXntW5toMSRYtMisOH/pJaeVnJ6wMDh82IT0HjaL86asyCTz4Img5rvylYs6p9A8oQYvfLmp2idadNKANAKK58bI8O47BRGpAQwFPi22W4GZIrJYRMaWdRERGSsii0RkUU5Ojh9k+4mICBPW+913sGABew6d4JNFGVzWozENasU4re60NE2owSVdGvL+jzvYfzTPaTmWp582NT7GjHFaScW47z44cABefx1V5X/fbKFtUhx92/m/SJq/iQgP47f9WrNm9yHmbAih3xQHcNKAlDbOLsucXwzMK+G+OldVu2NcYLeLSJ/STlTVV1Q1XVXTExND7MP561+bycR//YvXv9tKgcfDLX1aOq2qwtzWtxXH8wt58/ttTkup3mzfDp9+CmPHljo5HZKcdRb06QPPPMPc1ZmsyzrM2D6tQnbuoyQjuzaiQXw0b3xXvTMzOGlAMoDiy0wbA2UFWF9FCfeVqmZ6H/cAn2FcYu4iPh4efpgT3Xrw/o87GN4phWYJNZ1WVWHaJsUzsEMD3p+/nZMFtoa0Y7z4opn3uP12p5VUjvvug507WfnsayTXinE031tliYoI44azm/Htxr1szK6+ObKcNCALgTYi0kJEojBGYnLJRiJSG7gAmFRsX00RiS96DgwGVgVFtb+57z4+PP9yjpws4Dfnu2f0UcSN57Qg92geU5bbsEZHUIW5c2H0aGja1Gk1lWP4cLLu+xMfRDfl1+e1ICrCXasKru7VlOiIsGo9AnfsP6aqBcAdwAxgLTBeVVeLyK0icmuxpqOAmapafOlzEvCdiCwHFgBfqOr0YGn3Jx6P8v53m7krawFdarlj+F6cc1sn0LpBHG99v63aTyg6ggh8/72J6HMbYWE8nX4ZB+uncFUv53NeVZaEuGhGdm3EhCUZ1XYe0FGTr6pTVbWtqrZS1Se9+15W1ZeLtXlLVa8qcd4WVe3i3dKKznUj323aS9S6Nfzh7SfgtdecllNpRIQx5zRn5a6DLNlxwGk51QuPB44eNVFNdeo4rabS7Duax5QVu7knYhfx/37OaTk+cdN5zTmR72Hcwh1OS3EEd40ZqyBvf7+N7FYd8Jx7Lrz8svlRcBmXdmtEfEwEb1XjobwjTJ0KTZrA8uVOK/GJ8Yt2klfgYeTu5fDQQ5DpvhxT7ZNrcW7rBN75fjv51TDJojUgDrIj9xhfrd/D1b2aEnbbbabY1FdfOS2r0tSMjuCK9CZMW7mb7EN2YWHQePFFiI2F1NTTtw0xCj3Ke/O307tlPerdc5dZAOnCETjAr85tQdahE8xYXf0WFloD4iDvzt9GmAjXntXMTIImJJhRiAu54exmFKry/vztTkupHmzbBjNmwM03m/xqLuObDXvI2H+c63s3N+Vuhwwx8ziVqFoYKvRt14BGdWIZt6D6ubGsAXGI43mFfLRwJ0PTkkmuHQMxMSa9w+bNrvwSNUuoSb92Dfhw4U5bLyEYvPaamUD/9a+dVuIT7/6wnQbx0QxO86Zs/+1vjQurWGoftxAeJlzVswnzNuWyrZqVObAGxCGmrdrNoRMFXNu7WOjlX/4CS5a48o4S4KqeTdhz+CRfr6/eq3MDTkEBvPEGDBvmvtBdjOt2zoYcru7VlMhw70/QhRfCuefCCXe6QC9Pb0J4mPDhwp2nb1yFiHBaQHXlo4U7aZ5Qg7NbFktbHeNNYXLkiPFth0It60rQr30DEuOj+WjhDgaFUDGgKkd4OEyYYAqUuZBxC3cQJsI1ZxUzfuHhJq2PS0muHUP/9g34ZPFO/jCorevWtPhK9XiXIcbWvUf5ces+Lk9vcmrqhuXLTa2QqVOdEXcGRIaHcXmPxny1bo/N0htIRKB3b+je3Wkllaag0MOnizPo164BSaXlfMvPh7Vrgy/MD1zTqyl7j+Qxe22201KChjUgDjB+0U7Cw4TLejQ+9WBqKsTFwauvBl+YH7iyZxM8Cp8srl5D+aCxbZvJebXDnRO2czfmsOfwSa5IL+WzD/CrX0H//sZN5zL6tE2kYe2YajWZbg1IkCko9PDJ4gz6tUss/Q4sMhJuuMGMQLLddyfTLKEm57RK4KNFO23BnUDw+utmcynjF2ZQPy6Kfu0blN5g9GhTVXG6+xJLhIcJV/Zsyrcb91abap3WgASZr9fnkHP4JFf2LGfyc8wYKCyE998PnjA/cmXPJuzcd5zvN+c6LaVq4fHA22+bkFcXTp7nHjnJ7LXZXNq98c+T5yW58EJo0MAECbiQK3o2Jkzg42oyArcGJMh8tHAHDeKj6Vde3YMOHUy66zffPKXkrRsYkpZMnRqR1Ta9Q8D4+mvYudM9NT9K8NnSXRR4lMtLc90WERkJ119vwnn37AmeOD+RUjuWc1vXZ8KSXdViBG4NSBDZc+gEX6/PYXSPxkSUdQdWxD//ae42XUhMZDgjuzZi1ppsDh5335qWkOWtt6B2bRhRXuHO0ERVGb9oJ92a1qFNUnz5jW+6ycyBTJgQHHF+5rIejdl14Dg/bt13+sYuxxqQIDJ5eSaFHi198rwk551nomxcUmCnJKO6NSKvwMO0lTbNu99IToZbbvk53NtFLM84yIbsI1yRXoGsu2lpsGCBCRZwIYNTk4mLjuDTJRlOSwk41oAEkQlLdtGlcW1aJcZV7IRVq+C22+DkycAKCwCdG9emZWJNJizZ5bSUqsM//gF//7vTKnzik8U7iYkM46LOKRU7oWdPk2XYhcRGhTO8UzLTVu7mWJ77oskqgzv/Qy5kfdZh1uw+xKhupZZ9L51du0xuLBemdxARRndvzIJt+9i5r3pEpASUlStdOR8GkFfgYcqK3QxOTSY+phJZFv74R3jiicAJCyCjuzfmaF5hlU+waA1IkJiwNIOIMOHiypTtHDgQGjVy7VzIiK7mvX621I5Czoht26BzZ3j+eaeV+MTcDTkcOJbPyG6VLFm7ZYvJOOzCNSE9m9ejSb1YPl1ctT/7jhoQERkqIutFZJOIPFDK8b4iclBElnm3Ryt6bihR6FEmLc3kgraJJMRFV/zE8HC4+moTE5/rvpDYxnVrcFaLeny2dJetVngmvPeeeRw50lEZvvLZsl3UqxnF+W3KiTwsjWuvNZFYX34ZGGEBJCxMuLRbY+Zt3svug8edlhMwHDMgIhIOvAgMA1KBq0WktMIG36pqV+/2RCXPDQnmb8kl69AJRnWvhPuqiGuvNXdgH3/sf2FBYHT3xmzde5RlOw84LcWdqBoDcsEF0Ly502oqzeET+cxek83FnVPKXvtRFsOHm0qLRQbUZVzavRGqMHGp+wplVRQnRyC9gE3e8rR5wIdAReMTz+TcoDNhyS7ioyMY2MGHBINdukC/fq5M8Q4wrFMy0RFhdjLdV5YuhfXrzY2EC5m+KouTBR5GVGbur4joaLj8cvjsM1O612U0S6hJt6Z1mLzcGpBA0Agovlwzw7uvJGeLyHIRmSYiaZU8FxEZKyKLRGRRTk7w04wfzytk+qrdDOuUTEykD9l1RUyVwjvv9L+4IBAfE8mg1CSmrMisliU/z5jx483iutGjnVbiExOX7aJZQg26NanjWwc33ghXXWUyVLuQEV0asnb3ITZmH3ZaSkBw0oCUtsChpKN8CdBMVbsA/wYmVuJcs1P1FVVNV9X0xMRK+mD9wOy12RzNK2SkL3dgxfF4XFkzGmBE10bsP5bPvE17nZbiPv78Z/jmG6hXz2kllSb70Am+35zLyK6NTs06XVHOOccUz0pyZ3mACzs3JEyosqMQJw1IBlB8VVFj4Bd/ZVU9pKpHvM+nApEiUr8i54YKny/PpEF8NGe1SDh94/K47DJTQMiF9Glbn/iYCD5fbhcVVproaDj7bKdV+MTkZZmocuY3T6qweDHsc9/K7sT4aM5pVZ/JyzOrZCCJkwZkIdBGRFqISBRwFTC5eAMRSRbvrYuI9MLoza3IuaHAoRP5zNmQw4WdUwgPO8MV5f37w4oVZnGhy4iOCGdoWjIzV2dxIr/QaTnu4ckn4emnnVbhM5OXZ9KlcW1a1K95Zh2tWwfp6TBunH+EBZlLujRke+4xlmccdFqK33HMgKhqAXAHMANYC4xX1dUicquI3OptdhmwSkSWAy8AV6mh1HOD/y7KZ9bqbPIKPJVb+1EWl19uwno/+ODM+3KAi7s05PDJAubYcrcVIy8PnnnGTKK7kG17j7Jy10Eu6uyHz36HDia9yfjxZ96XAwzpmExUeBiTl4Wkk+SMcHQdiKpOVdW2qtpKVZ/07ntZVV/2Pv+PqqapahdV7a2q35d3bqjx+YpMGtWJ9X0CsThJSWZh4YcfunJF8jmtEkioGcXnK6relyggzJplXDbXXOO0Ep/4wpsD7cKKpi45HVdcAd9+68p5wNqxkVzQLpEpK0wuvKqEXYkeIPYfzeO7jXu5qEuK7xOIJbnySti61fiDXUZEeBjDO6Xw5dpsjp5038rioDNuHNSta2p/uJDPl2fSo1ldGtaJ9U+HV15pbpxcuh5qRNeG7Dl8kh+3um9BcHlYAxIgpq/OosCjXOyPIXwRo0bBF1+YtBYu5OIuDTmR76lWNaN94vhxmDQJLr0UoqKcVlNpNu05wrqswxVPnFgR2rUza6Imh9xUZ4UY0D6JGlHhfF7ForGsAQkQny/PpGX9mqQ1rOW/TuvUMatzXfijApDerC4ptWOq3JfI7+zbZ9yVLnVfTVmRiQgM7+RHAwJmDmTKFP/2GSRio8Lp374BM1ZnU1CF1kNZAxIA9hw+wfwtuVzUpaH/3FdF5ObCI4/A8uX+7TcIhIUJF3ZK4ZsNObbQVHk0amRWX/fv77QSn/hixW56Nq9HUi0/1y1p2xZi/eQSc4ALO6Ww72helSo0ZQ1IAJi+KguP4t8hfBHh4aYmxLvv+r/vIDC8cwr5hcqX1o1VOidPmuy7LmV91mE27jnCxYH47IPJTH399YHpO8D0bdeAGlHhPwUYVAWsAQkAU1fupnWDONqernSnL9SpA4MHm+G8C6OxujWpQ8PaMUxdWbXrJPjM9OnQogV8//3p24YgU1ZkEiYwtGOADMiePSa54pYtgek/gPzkxlqVVWXcWNaA+JmcwydZsHUfwzsmB+4iV1wBO3fCjz8G7hoBQkQY2jGFuRtzOHzCurFO4eOPTdqSnj2dVlJpVJUvVu6md8sEEuMrUbagMlx+uXl0aTTWhZ1SyD2ax4Iq4sayBsTPzFxj3FfD/D2BWJxLLjET6S79Eg3vlExegYev1u1xWkpoceKEiTIaNcokUHQZG/ccYUvO0cB+9ps3N8b1008Dd40A0rddA2Ijq44byxoQPzNtZRYt69ekfXIA3FdF1KljfmRcWCsdoHvTuiTViuaLFVXjS+Q3ZsyAw4fNCNOFTF25GxEYkhbgxIejR8PChbB9e2CvEwBio8Lp36EBM1ZnVYlFhdaA+JF9R/P4YUsuwzol+z/6qiTjxsF//hPYawSIsDBhWMcU5mzI4YhdVPgzn3xi3Ff9+jmtxCemr8qiZ7N6NIj3c/RVSUaPhosucm2K9ws7pbD3SF6VWFRoDYgfmbXG3FUMC9QEYnGKDNRhd9YZGN4phbwCD19bN9bPPPMMTJjgSvfVlhyzeHBoIOf+imjdGj7/3OTHciH9vG6sqVXAjWUNiB+ZujKLpvVq+HfxYHncfjv06OHKaKwezeqSGB9dJb5EfiMx0ZSudSHTVpmouqAYkCJ27oQDB4J3PT8RGxVOv/aJzFidjcflbixrQPzEgWN5zNu0NzjuqyI6d4aNG2HlyuBcz4+EhwnDOibz9fo9HMuzbiyefRbeestpFT4zbdVuujap47/cV6dj61Zo2hTefz841/MzQ9KSyTl8kqU79zst5YywBsRPzF67h4Jgua+KGDnSuLJcGpEyNC2ZE/ke5m6o5ineCwpM7Y9Zs5xW4hM79x1j1a5DDO8UxNFHixYmzbtLP/v92zcgKjyM6avcvR7KGhA/MX1VFim1Y+jSuHbwLpqUBOed59ovUa8W9ahTI5IZq6v5qvRvvzUpai691GklPjFtlXFDBvXmCcxk+jffQI77bkDiYyI5t3UC01ZlubpSoaMGRESGish6EdkkIg+UcvxaEVnh3b4XkS7Fjm0TkZUiskxEFgVX+S85erKAbzfmMCQtiO6rIkaPhtWrYf364F7XD0SEhzGoQxKz15rCW9WWCRNMjqehQ51W4hPTVmWR1rAWTerVCO6FR48GjwcmTgzudf3E0I7JZOw/zurMQ05L8RnHDIiIhAMvAsOAVOBqEUkt0WwrcIGqdgb+ArxS4ng/Ve2qqukBF1wO32zI4WSBhyFpQRzCF3H55fD665DswLX9wJC0ZA6fKGD+FveHNPqEx2MSJw4dCjXPsPSrA2QfOsHSHQcY6sRnv0sXaNnS/P1cyKDUZMIEZqx2rxvLyRFIL2CTqm5R1TzgQ2BE8Qaq+r2qFs0yzQcaB1ljhZixOou6NSLp2bxu8C/esCH86ldQO4iuMz9yXpv61IgKZ7qLv0RnxN69ZjJ49GinlfjEzDXG/TgkmNFXRYiYvFhvvBH8a/uBejWjOKtFgqvnQZw0II2AncVeZ3j3lcWvgWnFXiswU0QWi8jYsk4SkbEiskhEFuUEwFeaV+Dhq7V7GJSaRES4Q3/OffvgxRdh1y5nrn8GxESG069dA2auzq4SK3MrTYMGJnHitdc6rcQnZq7OokX9mrRpEOeMgLPPdu3oG4wba+OeI2za485FkU4akNImC0r9BRGRfhgDcn+x3eeqaneMC+x2EelT2rmq+oqqpqtqemJi4plqPoXvN+/l8MkCZ9xXReTkwB13GF+6CxnSMZm9R06ydIe7QxorjaprF4ICHDyWzw+bcxmclhT8ub/ijBtnShy4kMHetC9udWM5aUAygCbFXjcGTilVJyKdgdeAEar6k6NcVTO9j3uAzzAusaAzY3U2NaPCObd1fScub2jXzoQ0utQX3K9dYpUIaaw0q1dD/fqmTLEL+Wp9NgUedfbmCeDrr+GvfzXJKF1GSu1Yujap49rPvpMGZCHQRkRaiEgUcBXwi4LHItIUmABcr6obiu2vKSLxRc+BwcCqoCn3UuhRZq3Jom/7BsREhgf78r9k1CiYO9eEg7qMopDGGWvcHdJYaSZOhPx8k03AhcxYlU2D+Gi6Nq7jrJBRo0xerC+/dFaHjwxJS2blroNkHjjutJRK45gBUdUC4A5gBrAWGK+qq0XkVhG51dvsUSAB+G+JcN0k4DsRWQ4sAL5Q1elBfgss2bGfvUfynIlAKcnIkVBY6Nqa0UM7JrNz33HW7HZvSGOl+ewz6N3blT7843mFzNmwh8FpSYSFOei+AlP6Nz7etSPwIjfWbBdW6Yxw8uKqOhWYWmLfy8We3wzcXMp5W4AuJfcHm5mrs4gKD6NvO//PrVSa9HQTzbN2rdNKfGJAhyREVjJrTTZpDd0ZUVYpduyAJUvg6aedVuITczfmcCLfodD1kkRHw4UXmloqhYWm7LOLaJUYR6vEmsxcnc0NZzd3Wk6lsCvRfURVmbkmm3NaJxAfEwLZU0WM8XjqKaeV+ET9uGjSm9VlZnVZlT5pknkcOdJRGb4yY3UWtWIi6N0ywWkphksvNcWmstw5lzA4LZn5W3I5eMxdVTqtAfGRDdlH2J57jMGpIXAHVkQN70pgl84jDE5NZs3uQ+zcd8xpKYFn2DBTz6VNG6eVVJqCQlNNckCHJCKdCl0vyWWXwYIF0Ki8lQChy+DUJAo8ylfr3XUDFSL/ffcxc3UWIjAwtYHTUn7JddfB2DKXxYQ0g1KNL3jWGnd9iXyidWuTjt+FLNy2nwPH8hmcGuDKg5WhKIz46FFX3kB1aVyHpFrRrhuBn9aAiEiSiLwuItO8r1NF5NeBlxbazFqbTdcmdQJffa2yhIWZ5Ir57hoKAzSvX5N2SfHMXONON0SF+e47s2ansNBpJT4xc00WURFh9GkbAnN/xZk+3YRFu7C8QViYMCg1iW825HAi3z2fi4qMQN7CREo19L7eAPwuQHpcQeaB46zIOBha7qsiRo6E/fvNj5QLGZyWxIKt+9h/NM9pKYHjmWfg7ruNsXcZqsqsNdmc17o+NaMdjcE5la5d4eTJn+eXXMbg1GSO5RUyb9Nep6VUmIp8guur6njAAz+F37rHRAaAonC7ovC7kGLwYBOV4tIv0aDUJDwKX1bVUrfHjsGMGTBixM9uFxexdvdhMvYfDy33VRHJySYs2qWf/d4tE4iPjnDVqvSKGJCjIpKAN82IiPQGDgZUVYgzc3U2rRJr0irRofw/5REXB4MGmS+RC33BnRrVJrlWDDNd9CWqFLNnGyPi0uirWWuyETFh1yHJiBGweLEpd+syoiLC6Ne+AV+u3eOavHAVMSB/wKwQbyUi84B3gDsDqiqEOXg8n/lbchkcCvHvZTF2LNx8syvnQUSEwWlJzN2Yw/G8KjjQnTTJZE52ae3zmWuy6N7U1LMPSYoM8+TJ5TYLVQalJpF7NM81eeFOa0BUdQlwAXAOcAuQpqorAi0sVJmz3pSuHRSKQ/giLr4Y/vQniIpyWolPDE41pW6/3ei+SnOnZdUqGD4cIkNg7VAl2XXAFD8KSfdVEe3awXPPmVG4C+nbLpHIcHFNJOJpZ8FE5IYSu7qLCKr6ToA0hTQzV2eTGAr5f07HkSPwww+u/CKd1bIe8TERzFqTHdojPV+YP9+EmrqQWV63YkjfPIEJUHAp8TGR9G6ZwMw12TwwrL2zWY4rQEVcWD2LbecDjwOXBFBTyHKyoJA56/cwsEMI5P85Hf/9r5lQ37HDaSWVJjI8jH7tGvDVOvf4giuMiJmnciEz12TTukEcLUNx7q84hYXGhfXDD04r8YnBqUls3XuUzTmhXyOkIi6sO4ttvwG6Ae70jZwhP2zO5WheYWgP4YsY4S3u6HJf8BKX+IJPiyqcd55xr7iQg8fy+XHrvtAffYAx0rfcAs8+67QSnxjo/RvPdIEby5dA9GOA+/Iv+IFZa7KpERXO2a1CJP9PebRrZzaXhjS6zRd8Wtatg3nzTIi1C/l6vRkNusKAhIWZecBp08y6EJeRUjuWTo1qu+KzX5GV6J+LyGTvNgVYD7jzV+kM8HiU2Wuz6dMm0fnaHxVl5EiYMwcOHHBYSOUp8gXPWpNdNWqEFBnyS9zp/Z21xiVzf0WMGGHmAefMcVqJTwxKTWLZzgPsORzaRbIqMgL5J/Av7/Z/QB9VfSCgqkKQlbsOkn3opDvuwIoYMQIKCszaAxfiJl/waZk0yaTcd2Gyv5/n/hqE/txfEf37m+SiLh2BD0pNQhW+XBvaC2orMgfyTbFtnqpmBENYqDFrTTbhYUL/9iGWPLE8zjoLli+H0aOdVuITbvIFl0tWFvz448/zUi5j/pZ9HM0rdNfNU2wsDBkCS5c6rcQn2ifH07hubMi7sco0ICJyWEQOlbIdFhG/lI0TkaEisl5ENonIKaMaMbzgPb5CRLpX9Fx/M2tNNunN6lK3poviB8LCoHNnV6bMAHf5gsuloMBk3nWpIZ+1JovYyHDOaVXfaSmV48034fvvnVbhEyImueJ3m/Zy9GSB03LKpEwDoqrxqlqrlC1eVWud6YVFJBx4ERgGpAJXi0hqiWbDMBP2bYCxwEuVONdv7Mg9xvrsw+66AysiOxtuugm++cZpJT7hFl9wuTRuDP/+N3To4LSSSqOqzF6zhz5t67tn7q+I2rVde/ME5rOfVxDaC2orHIUlIg1EpGnR5odr9wI2qeoWVc0DPgRKjvFHAO+oYT5QR0RSKniu3yhKLx6S2XdPR61aMH682VyIW3zBZXL0qLkLdmnq9pW7DpJ16ASD3PjZBxPKO2SI0yp8olfzetSOjQxpF25ForAuEZGNwFbgG2AbMM0P124EFM94luHdV5E2FTkXABEZKyKLRGRRTo5vlvx4XiE9mtWlaUINn853lNhYs6Bw8mRXJld0iy+4TGbMgHPPhW+/dVqJT8xak02Y4K65v+KowsyZsHWr00oqTUR4GP3bmwW1BYUep+WUSkVGIH8BegMbVLUFMACY54drlza2LPkLV1abipxrdqq+oqrpqpqemOhbAZw7B7Thk1vP9unckGDECMjIgCVLnFZSadziCy6TSZOgbl2ziNCFzFqTTXrzetRz09xfcYoCF1wcjXXgWD6LtofmgtqKGJB8Vc0FwkQkTFW/Brr64doZQJNirxsDmRVsU5Fz/Uqo56Qpl4suMhPqbv0SdSjyBbun0A5gJs+nTIELL4SIECu+VAF27jvGuqzD7si8UBatWkFamms/+33aJhIVHsbsEB2BV8SAHBCROGAu8L6IPA/441ZwIdBGRFqISBRwFSZtfHEmAzd4o7F6AwdVdXcFz7UUUb8+XHmlmQ9xIT1b1KOWN7miq5g3D/btc234bpHv3ZXBI8UZMcK4EPftc1pJpYmLjuCc1gnMWhuaC2orcls0AjgO/B64FqgNPHGmF1bVAhG5A1MuNxx4Q1VXi8it3uMvA1OB4cAmTAqVm8o790w1VWk++MBpBT4T+ZMvOJuCQg8R4S4pBTtlikmp79JJ3FlrsmibFEezhJpOSzkzLr/cGI/jx51W4hODUpP402er2LjnCG2T4p2W8wsq8k0cCzRU1QJVfVtVX/C6tM4YVZ2qqm1VtZWqPund97LXeOCNvrrde7yTqi4q71zLafB4YI87o5kGpSaz/1g+i0PUF1wqf/2ricCKD60vfUU4cCyPhdv2u3/0AaZW+ksvuTILAMBAb/XHUByBV8SA1AJmiMi3InK7iFSBT1Q1ZcAAuPpqp1X4xAXtjC84FL9EZRIdDT16OK3CJ4pS6bs2fLckHg8sWAAn3LeeKKlWDF2a1AnJcN6KpDL5s6qmAbcDDYFvRMSdyZWqO+ecYxYUutQXfHar0PUFn8Ibb8DDD7sydBrM3W6D+Gg6N6rttBT/8OWXJrXPV185rcQnBqcmsXznAbIPhZYBrIwzeQ+QBeQCLg0Kr+aMGGEWtE2d6rQSnxiUmsT23GNs3OOC5Iovv2ySWLoweu9EfiHfbMhhYKoLCqdVlD59jCvRpdFYRZFws9eG1iikIgsJbxOROcCXQH3gN6raOdDCLAEgPR1SUmDiRKeV+ESRPz7k3Vi7dsHCha6Nvvphcy7H3JY88XRER8PQoWZBrSc0F+WVR+sGcTRPqMHM1aH12a/ICKQZ8DtVTVPVx1R1TaBFWQJEWJipRzF9urt9wd7a3CFLURVIlxqQmWuyqRkVzjluKJxWGUaMMJmRFy50WkmlEREGpyXzw+ZcDp/Id1rOT1RkDuQBVV0WBC2WYHD77fDpp65c2AZeX3DGQbIOhrABnDgR2rRxZfLEosJpF7RLJDrCZckTT8fw4RAe7uoyz3mFHr7ZEDrJFV0SUG/xG506mXUJLjYgALNCzBf8E6qQkADXXOPK+Y9lGQfIOeyywmkVpW5dmDvXBDe4kO5N65JQMyqkXLjWgFRH1q+HJ55wrS+4Rf2aoevGEjGLNh9/3GklPjFzdTYRYUL/dlXQgICJRIyNdVqFT4SHCQM6mOSK+SGSXLEik+h3iEjdYIixBIlFi+Cxx0yVPJdRlFxx/pZcDoWQL/gnXBgiXZyZa7Lo3TKB2jUinZYSGDwe89l/5x2nlfjEoNRkDp8o4MctofE5q8gIJBlYKCLjvVUA3Tcut/yS4cONC8vFIY35hcqc9aHjCwYgLw9atoRHH3VaiU9s2nOELTlHGZxWRUcfYAJJpkwxYdYu5Pw29YmNDP+pRpHTVGQS/WFMRcDXgRuBjSLyNxFpFWBtlkBRty707QuffebKhW7dmtalflxU6Lmx5syBgwdNuLQLKfpRKkqdUWUZORLmz4fdu51WUmliIsM5v019Zq0JjQW1FZoDUaM0y7sVAHWBT0Tk6QBqswSSUaNgwwZYt85pJZUmPEwY0D6JOetzOFkQQpX+Jk6EmjVh0CCnlfjEzNXZdG5cm4Z13DlHUGFGjjQ3Tp9/7rQSnxiclszugydYueug01IqNAdyl4gsBp7GFJLqpKq3AT2A0QHWZwkUI0ZAXBysceeynsFpSRw5WcAPm/2S1/PM8XiMARk61JWTtNmHTrBs5wF31/6oKB07mjohLl1QO6B9A8LDhBkhMAKvyAikPnCpqg5R1Y9VNR9AVT3ARQFVZwkcjRpBbi6Mduc9wLmt61MjKpwZobIyd8EC4xIZNcppJT5RFBo6OK2KJE8sDxGTVLRWLVe6cOvWjKJX83oh8dmvyBzIo6q6vYxja/0vyRI0orxlSl0YzhsTGU7fdonMWpNNoScEfgTat4c33zTVB13IzDXZNE+oQZsGcU5LCQ5/+Qt8+KEr1+oADElLYtOeI2zOcTYvnF0HUp05cAA6dza1ElzIkLRk9h45ydIdIVAjpE4duPFG8+gyDp3I54fNexmcluzu0s2+cOCA0wp8omik6LQbyxEDIiL1RGSWiGz0Pp6yzkREmojI1yKyVkRWi8jdxY49LiK7RGSZdxse3HdQRahTB/LzXesL7te+AZHhIeAL3rQJ/v1v1/4Yfb1uD/mFWj3mP4rz5z9Ds2Zw8qTTSipNwzqxdG5c2/Hkik6NQB4AvlTVNpgsvw+U0qYAuEdVOwC9gdtFJLXY8WdVtat3c2d+8lBg5EgTfro/BO7iK0mtmEjOaVWfGasdDmn86CO46y44dsw5DWfA9FVZJMZH071pNVsv3LMnHDrk2hohQ9KSWbbzgKN54ZwyICOAt73P3wZGlmygqrtVdYn3+WFgLeDOmpShzKhRUFDg2pDGoR2T2bHvGOuyDjsn4rPPoHdvaNjQOQ0+cjyvkDnrcxiSVoVqf1SUAQNMjZAJE5xW4hND0orKGzg3AnfKgCSp6m4whoLTFKgSkeZAN6B47o07RGSFiLxRXqoVERkrIotEZFFOToitXA4F0tOhcWPzI+hCBnZIQsTcRTvCjh2weLEZybmQuRtzOJ5fyNC0FKelBJ/oaBP0MHGiKbTmMlolxtGyfk1Ho7ECZkBEZLaIrCplq1SRBBGJAz7F1CQ55N39EtAK6ArsBv5V1vmq+oqqpqtqemJiom9vpioTFmZyA115pdNKfCIxPpr0ZnWdmwcpmj9yafjujNVZ1I6N5KyW9ZyW4gyXXgp798J33zmtpNIU1QiZvyWXA8fyHNEQMAOiqgNVtWMp2yQgW0RSALyPe0rrQ0QiMcbjfVWdUKzvbFUt9K5FeRXoFaj3US24+Wa46iqnVfjMkLRk1mUdZkeuA3MQmzaZSLa2bYN/7TMkv9DD7DXZDOyQRGR4NQ3IHDYMXnnFlDlwIUM7JlPgUWavLfUnNOA49amZDIzxPh8DnJLVz5u08XVgrao+U+JY8fH2KGBVgHRWH3buhGnTnFbhE0O8IY3TVzuQ2+iFF8wiQhdiMhoXMLRjNVg8WBZxcfCb30A9d47AujSuTcPaMUxf5UxeL6cMyFPAIBHZCAzyvkZEGopIUUTVucD1QP9SwnWfFpGVIrIC6Af8Psj6qx5PPAFXXOHKUrdN6tWgY6NaTAv2PEjRAszo6OBe109MX5VFjSiTnK9ac/iwWQvlwrQ+IsLQjinM3bjXkVK3jhgQVc1V1QGq2sb7uM+7P1NVh3uff6eqoqqdS4brqur1qtrJe+ySogl5yxkwejQcOQKzZzutxCeGdUxh6Y4D7D54PHgXvfhiuO224F3PjxR6lBmrs+nXrgExkVWsdG1lyc83Ydjvvuu0Ep8Y1imZvAIPX60Lvhurmjo+LafQvz/Uru3akMZhXjdM0KKxcnNhxgxXrjwHWLJjP3uPnKzatT8qSr160K8ffPqpK3Nj9Whal8T4aEciEa0BsRiioswd9aRJ5o7MZbRMjKN9cjzTVgbpSzR5sgn9dGkyyqkrdxMVEcaAql77o6KMHg0bN8LKlU4rqTRhYcKQNFPe4HhecMORrQGx/Myll5oV6cuWOa3EJ4Z1TGHh9n3sORSEeZxPPzVpMHr0CPy1/IzHo0xbmcUFbROJi45wWk5oMGqUCWn/+GOnlfjE8I4pHM8v5JsNwXVjWQNi+ZlhwyAz06R4cCHDOiWjGoQEc4cOwaxZxuC6MPng0p37yTp0ggs7VcPFg2XRoIFxY23d6rQSn+jVoh51a0QGPZDE3n5YfiYmBpLdG9LZpkEcrRJrMnVlFtef3TxwF/J44PHHjcF1IVNXZhEVHsaADuUmgKh+TJ36c4kDlxERHsbg1GS+WLmbkwWFREcEJzDCjkAsv2T7dhgyBL7+2mkllUZEGN4phR+35pJ7JIAZVuvUgQcfhK5dA3eNAGHcV7vp07Y+8TGRTssJLYqMhwvTmoAZgR85WcC3G/YG7ZrWgFh+SYMGMG+eKbbjQoZ2TMajBC4/0KFDMH68azPvLss4QObBEwy37qvSeeQRkx/OhZzbuj51akQyZUVm0K5pDYjll8TGwiWXmEniggKn1VSa1JRaNE+owRcrA/QlmjTJ5A1bvjww/QeYqSt2ExUexsDqVvujoqSkmCCS1audVlJpIsPDGJqWzKw12ZzID84oyhoQy6lcfrlZ5+BSN9ZFnRvyw+Zccg4HwI01fjw0aQJnneX/vgOMqjJtVRbnt6lPLeu+Kp2iwAiXRmNd2DmFo94U/cHAGhDLqQwdanIEufRLdFGXFDwK0/ydH+jAAbN48IorTMiny1iecZBdB44zzLqvyiY5Gfr0ce1n/+yWCdSrGRU0N5b7vgWWwBMbC/fcA927O63EJ9olxdOmQRxTlvvZgEycaBZZXnGFf/sNEp8vzyQqPIxB1n1VPldcYfJirXJfjtaI8DCGdkzmy7V7grKo0BoQS+k8/jjceqvTKnyiyI21cPs+/+bG+u47aN7cletkCj3KlBWZ9G2XSO1Y674ql8suM8lFExKcVuITF3U2iwqDkRvLGhBL2Rw5Aj/84LQKn7ioSwqq8MUKP45CXn0VfvzRlYsHF2zdR/ahk1zcxX1ld4NOgwYmGivFna6+s1okUD8uOihuLGtALGXzu9+Z+RAXpnhvlRhHakotpvjTgIiYHxcX8vmKTGpEhTPQ5r6qGHl5pszzunVOK6k04WHC8E7JfLVuD0dOBjaS0hoQS9lceaVZ9zB16unbhiAXdUlh2c4D7NznhzUbo0eb0r8uJL/Qw7SVuxmUmkRsVDVP3V5Rjh0zVTpfftlpJT5xUeeGnCwwFScDiSMGRETqicgsEdnofaxbRrtt3sJRy0RkUWXPt5wh/fpBUhKMG+e0Ep+4uLNx15zxKGTXLnM36kLXFcB3G/ey/1j+T38PSwWoUweGD4ePPnLlyvT0ZnVpVCeWict2BfQ6To1AHgC+VNU2wJfe12XRz1tMqvjy0Mqcb/GViAgTkfL552Yk4jKa1KtBt6Z1mHSmX6IPPzR1Iq691j/CgsznyzOpHRtJn7aJTktxF1dfDVlZMHeu00oqTViYcEnXhny7cS97A5jWxykDMgJ42/v8bWBkkM+3VJRrroGTJ2HmTKeV+MSobo1Yl3WYtbvPwAC+/76JvGrTxn/CgsSJ/EJmrM5iWMdkoiKsx7pSXHSRWQ/l0hH4yK6NKPSofwNJSuDUJyqpqAyt97GsmUkFZorIYhEZ68P5ljPlrLNMkZ3LLnNaiU9c2CmFiDBh4lIfRyFr18LSpa4dfXy5dg9H8wpt9JUv1KgBI0aY/78LKxW2S46nfXJ8QN1YATMgIjJbRFaVso2oRDfnqmp3YBhwu4j08UHHWBFZJCKLcnKCs7y/SiECHTs6rcJnEuKiuaBtIpOWZVLo8eFHIDYW7rzTBBS4kM+WZpBUK5reLd25psFxXnoJFixw7fzXyG6NWLrjANtzjwak/4AZEFUdqKodS9kmAdkikgLgfSx1xYuqZnof9wCfAb28hyp0vvfcV1Q1XVXTExOtD9gnTpyAMWPgtdecVuITo7o3IuvQCX7cklv5k5s3hxdecGWdlL1HTjJnfQ4juzUiPMydP4COEx9vjIcLJ9IBLunSEBGYtCwwa0KccmFNBsZ4n48BJpVsICI1RSS+6DkwGFhV0fMtfiQmxrixXBrSOLBDEnHREXxWWTfWhg1mAtXjCYywAPP58kwKPMql3Ro7LcXdfPopNG5sEoy6jIZ1YunVvB4Tl+1CA+CGc8qAPAUMEpGNwCDva0SkoYgULTpIAr4TkeXAAuALVZ1e3vmWAHLjjbB4sTEkLiMmMpxhHZOZtiqrcmmun33WFNc6ciRw4gLIhCW76NioFu2S452W4m5atzbRWB995LQSnxjZrRFbco6yapf/IykdMSCqmquqA1S1jfdxn3d/pqoO9z7foqpdvFuaqj55uvMtAeTqq01Y79tvn75tCDKqeyOOnCxg9toKLqw6ftxE34weDbVqBVZcANiQfZiVuw7a0Yc/6NIFOneGd95xWolPDO+YwsVdGhIZ4X83po3rs1SMxEQT1vjee64sNNW7RQIptWP4dHFGxU6YOBEOHoSbbgqorkAxYckuwr1rASx+4IYbTB609eudVlJpateI5N9Xd6N9sv9vhKwBsVSc224z4awuLOcaFiZc2r0R32zIIetgBXJ7vfUWNGtmVuO7jEKPMnHpLvq2TaR+XLTTcqoG115rasC4dBQSKKwBsVScwYPhX/9ypUsH4Ir0JngUPl1ymlHIkSOmZO2YMa4sHPX95r1kHTrBpd2t+8pvJCfDc8/BqFFOKwkpIpwWYHEZHo8pddu9O9R1VwqyZgk16d2yHuMX7eS2C1oRVlZoa1wc7NhhVuC7kI8W7qR2bCQDOtj1tX7lzjudVhByuO/2yuIsK1fCwIHwwQdOK/GJK3s2YXvuMX7cWkbchaoxklFRZg2Ay9h3NI+Zq7O5tHsjYiJt5l2/s2QJ/O9/TqsIGawBsVSOLl2ga1dTXMmF6R2GdUwhPiaC8Yt2lt7gu++gVStYsSK4wvzEhCUZ5BV6uLpXU6elVE3ee8+MRPYEvtqfG7AGxFJ5brnFzBEsWOC0kkoTExnOiK4NmbpyN4dO5J/a4PXXYe9eY0RchqrywYIddG9ah7ZJ7hs9uYLf/Aby810bzu5vrAGxVJ5rroGaNV07lL8ivQknCzxMLpneYd8+s1jsuuvM+3MZC7ftZ0vOUa6yo4/A0aEDnHcevPKKK0fg/sYaEEvlqVXLGJFvv3VljqBOjWrTPjmecQt2/DK9w1tvmbxft93mmLYz4cMFO4iPjuCizu6s5e0axo6FTZtgzhynlTiONSAW3/j7302q83D3TdSKCNf1bsbqzEMs2XHA7PR4TK6vc84xq45dxsFj+XyxcjcjujWkRpQNrgwol11mkmzu2OG0EsexnzSLbxSF8BYUGCPisnTXo7o14u/T1vHuD9vo0cz7Xp55xpWuKzBp208WeLiqp3VfBZzYWNi82ZVrhPyN/QtYfGfJErNa+/vvnVZSaWpGRzC6R2O+WLmbnMMnzY/BRRe5cuW5x6O8/cN2ujapQ8dGtZ2WUz0ICzNzIBkVTI1TRbEGxOI7bduaVdv//a/TSnzi+rObkV+oTJm6AB56CLIrmGgxxPhmYw5b9x7lpnObOy2lejF2rHF5ujA3nL+wBsTiO3Fx8KtfwfjxsCtwZTMDRavEOM5vU5/CV15Fn3oKjgamalugeXPeNhrERzOso508DyoXXww7d8JnnzmtxDGsAbGcGXfdZSag//Mfp5X4xJhuSYyY/zl7z+0HLVs6LafSbNpzhLkbcri+dzOiIuzXOahceKH5zDz3nNNKHMN+4ixnRosWJsHc//7nyjv4/otmkXjsAC/3HOm0FJ94+/ttREWEcc1ZdvI86ISHmxuo77+HRYucVuMIjkRhiUg94COgObANuEJV95do087bpoiWwKOq+pyIPA78BsjxHntIVafiA/n5+WRkZHDiRAVSfFdRYmJiaNy4MZGRkb518OijZnV6jRr+FRZoPB7Cnn2GvW3SeD2yBZfsPECXJnWcVlVhDh7P59MlGVzSpSEJNm27M9x0EzzyCLzxBqSnO60m6DgVxvsA8KWqPiUiD3hf31+8gaquB7oCiEg4sAso7mx8VlX/eaZCMjIyiI+Pp3nz5ojLQlH9gaqSm5tLRkYGLVq08K0TF66bAODQIejShbgLL6bW5khe/mYzL13Xw2lVFeajhTs4lldoJ8+dpFYtk526UyenlTiCUy6sEUBRMpm3gZGnaT8A2Kyq2/0t5MSJEyQkJFRL4wFmUV1CQsKZj8AOH4Z774Xp00/fNlSoUwc+/JCY66/l+rObMX11Flty3FH//ER+Ia99u5WzWyaQ1tCG7jpKjx4me3M1TG3ilAFJUtXdAN7H0xUuuAoYV2LfHSKyQkTeEJEyC1OIyFgRWSQii3JycspqUwnpVQ+/vP+YGBON9de/uuOLtHEjrF7908sbz2lBZHgYr8zd4qCoivPJ4gz2HD7Jnf1bOy3FAubGqUMHyM11WklQCZgBEZHZIrKqlG1EJfuJAi4BPi62+yWgFcbFtRv4V1nnq+orqpququmJiYmVfyOWihEZCX/8I8ybZ4b0oc7DD5ukeMePA5AYH80V6Y2ZsGQXew6F9nxYfqGHl+ZspnvTOpzdKsFpORaAJk1MvfTnn3daSVAJmAFR1YGq2rGUbRKQLSIpAN7H8pLrDwOWqOpPq7xUNVtVC1XVA7wK9ArU+3CKm2++mTVr1py23XPPPcc7p6nTfNVVV7Fx40Z/SSubm2+Ghg3h8cdDexSyahV8/LFJmhgb+9Pusee3osDj4fV5Wx0Ud3omLt3FrgPHuaN/62o/eg4Z0tLg0kvhhRfg4EGn1QQNp1xYk4Ex3udjgEnltL2aEu6rIuPjZRSwyq/qQoDXXnuN1NTUctsUFBTwxhtvcM0115Tb7rbbbuPpp5/2p7zSiYmBBx4wWXpDOVPpY4+ZaoP33vuL3U0TanBh54a898N2co+EZjnbQo/y0pzNpKbUol87W7I2pHj4YWM8XLomyhecisJ6ChgvIr8GdgCXA4hIQ+A1VR3ufV0DGATcUuL8p0WkK6CYMOCSx33iz5+vZk3mIX909ROpDWvx2MVp5bY5evQoV1xxBRkZGRQWFvLII4/w0ksv8c9//pP09HTi4uK4++67mTJlCrGxsUyaNImkpCS++uorunfvTkREBAUFBZx99tn84x//oG/fvjz44IOEhYXx5JNPcv7553PjjTdSUFBARESA/+W/+Y2ZW2jUKLDX8ZWlS2HCBGNE6tU75fDdA9rwxYpMXvx6M49eXL4Bd4KpK3ezZe9RXrq2ux19hBrdupnFhc8+C7/7nWsTc1YGR0YgqpqrqgNUtY33cZ93f2aR8fC+PqaqCap6sMT516tqJ1XtrKqXFE3Iu5Xp06fTsGFDli9fzqpVqxg6dOgvjh89epTevXuzfPly+vTpw6uvvgrAvHnz6NHDhJ1GRETw1ltvcdtttzFr1iymT5/OY489BkBYWBitW7dm+fLlgX8zMTEmLXrbtoG/li+sXGmM2+9/X+rh1g3iuKxHY96bv51dB44HWVz55Bd6eHbWBto0iGNIWrLTciyl8eST8P777lsT5SM2nXsxTjdSCBSdOnXi3nvv5f777+eiiy7i/PPP/8XxqKgoLrroIgB69OjBrFmzANi9ezcdOnT4qV1aWhrXX389F198MT/88ANRUVE/HWvQoAGZmZk/GZyAs3q1qe735z+HVqr3G26Aq64yYZdlcPfAtkxcmsnzszfw9GVdgiiufD5csIMte4/y2g3phIWF0N/U8jNdupitmmBTmYQAbdu2ZfHixXTq1IkHH3yQJ5544hfHIyMjf3JXhIeHU+DN/hkbG3vK+o2VK1dSp04dsktklj1x4gSxxSaMA85338Ff/gKffBK8a5aHqpmbUS3XeAA0qhPL9Wc345PFGWzaExrrQg6fyOe52Rvp3bIeAzrYuY+Q55FH4A9/cFpFwLEGJATIzMykRo0aXHfdddx7770sWbKkQud16NCBTZs2/fR6woQJ5ObmMnfuXO666y4OHDjw07ENGzaQlhbEEdbNN5sV6vfd91OorKNMmgR9+lQ4c+pv+7YiNjKcf81cH2BhFePlbzaTezSPPw1PtXMfbuDAARORtXat00ogJ8dsAcAakBBg5cqV9OrVi65du/Lkk0/y8MMPV+i8YcOGMXfuXAD27t3LAw88wOuvv07btm254447uPvuuwHIzs4mNjaWlJQgpvsODzdZSrdvN5X+nOT4cTOp2bEjXHJJhU5JiItmbJ9WTFuVxbxNewOr7zRkHjjOa99uZWTXhnRqbFedu4JHHzWT6H/8o9NK4O67jVstEDdyqlptth49emhJ1qxZc8o+NzFy5EjdsGFDuW2eeeYZfe2118ptE7C/w6hRqjVrqu7aFZj+K8Jjj6mC6pw5lTrteF6B9nn6K+37j6/1eF5BYLRVgLvHLdE2f5qqO/cddUyDxQeeesp87mbNck7DzJlGw2OPnVE3wCIt5TfVjkBczlNPPcXu3eUHodWpU4cxY8aU2yZg/POfcOutzoU0btkCTz0FV18NF1xQqVNjIsP568iObN17lJe/2RwggeXz9bo9TFyWya19WtK4bvWI7Kky3H23qRdy992mZo4TvP8+tG5t1mcFABuF5XLatWtHu3btym1z0003BUlNKbRsaYyIU2zfbtJM/OMfPp1+fptELunSkP9+vZlLujSkZWKcnwWWzaET+Tz02UraJsVxu8155T5iYmDcOHPzFObQvfobb8Du3UZLALAjEEtwWLwYzj8/YJN5ZdKvn8lRdAYLGx++qAPRkWE8PHEVGsQULf83dR3Zh07w9GVdiI4ID9p1LX6kVy+T5gTMxHqw2LoVsrKM4Qrgol5rQCzBITISfvzRuLOC8SO8fj38/e9QWHjGd38N4mN4YFh7vt+cy6vfBidb7/eb9jJuwQ5+c35LurqoyJWlDP74RzjrrOBEJB4/bqqEnnce5OcH9FLWgFiCQ+fOZl3IhAnGLxtI8vLgmmvg6af9NuK5pldThnVM5u/T17No2z6/9FkWOYdPcs/Hy2lRvya/HxSiK/otlWPwYNiw4ZT8awHh97+H5ctNGLGvVUYriDUgluBx771w7rnw29+alCKB4k9/giVL4PXXIdk/KT9EhL9f1pnGdWO544OlAUu2mFfg4bb3FrP/WB7/vrobMZHWdVUlGDgQ7rkH/vtfeOWVwF1n3Dj43//g/vth+PDTtz9DrAGpAixdupSbb7653Db/+c9/ePPNN4OkqAzCw+HDD00m3GefDcw1Xn/958ivkSP92nWtmEhevKY7+47l8fvxyyko9G9kjary2ORVLNq+n39c1oWOjeyajyrF3/8OQ4fC7beDd/2WX9m0CcaONTdpf/mL//svBWtAqgB/+9vfuPPOO8tt86tf/YoXXnghSIrKoXFjk+bkf//zf9/Z2XDnnTBkSMAK+3RsVJs/X5LG3A053PfJCgo9/pvPeXf+dsYt2Mnt/VpxcZeGfuvXEiKEh5sRQrducPSo//tv1AhGjzbXCLDrqghrQErSt++p23//a44dO1b68bfeMsf37j31WAV455136Ny5M126dOH6669n+/btDBgwgM6dOzNgwAB27NgBwMcff0zHjh3p0qULffr0AeDw4cOsWLGCLt4EbnfddddPubRmzJhBnz598Hg81KhRg+bNm7NgwYIz+ev4hxYtzAc8O9u/qU6SkmDWLJN/6zT5rs6Eq3s15d7Bbfls6S7u/3QFHj8YkbfmbeXRSasZ0L4B9wwqPyzb4mLq1DHBJMOGmdf+iMzavt30ExtrfouaNDnzPiuINSAOs3r1ap588km++uorli9fzvPPP88dd9zBDTfcwIoVK7j22mu56667AHjiiSeYMWMGy5cvZ/LkyQAsWrSIjh07/tTfU089xUcffcTXX3/NXXfdxZtvvkmYNwopPT2db7/9Nvhvsixmz4Z//csY2qws3/uZONG4rsAM3+MCv1bjjv5t+N3ANnyyOIMHJ6z0eSSiqjw7awOPf76GQalJvHhtd5tpt6pTlMvsnXdM2YOFC33va8sW8/25/HK/SKs0pS1Pr6pbKKYyeeGFF/Shhx76xb6EhATNy8tTVdW8vDxNSEhQVdVbbrlFBw4cqK+88oru3btXVVXff/99veWWW35x/rx58zQ8PFxfeOGFX+x/5ZVX9A9/+EOpOhz7O3z2mWqNGqpNmqguW1a5c/PzVe+/36RqOOcc1cLCgEgsC4/Ho/+csU6b3T9FL/3vPN2+t3KpRo6cyNcHPl2hze6foveOX6b5BcHVb3GY9etVmzc3qX4mTqz8+e+/r1qrlmrt2qoLF/pdXnEIpVQmInK5iKwWEY+IpJfTbqiIrBeRTSLyQLH99URklohs9D7WDY5y/6Oqp82uWnT85Zdf5q9//Ss7d+6ka9eu5ObmlpnSPSEhgczMzF/sD3pK94owcqRJs15YCL17wxdfVOy8hQth0CAzMTl2LHz5ZdBX+4oI9wxux/NXdWVD9mGGPT+X8Qt3ntalpap8sWI3A5/5hnELdnDrBa14+rLORIRbh0C1om1b+P57aNPGfA8uuQQ2VyBlzokTcP31cO21JkHo0qWQXubPaGApzaoEegM6AO2AOUB6GW3Cgc1ASyAKWA6keo89DTzgff4A8PeKXDcURyCrVq3SNm3a/DSiyM3N1YsvvljfeecdVVV98803deTIkaqqumnTpp/O69q1qy5dulTXrl2r55577k/7t23bpm3atNFdu3Zply5ddP78+T8du+OOO3TcuHGl6nD676C7dqnedJNqTo55vXq16ty5qocOmdeFhar795vnGRmqYWHm7uuNNxyRW5KM/cf0yv99r83un6Ln/N+X+q8Z63RrzhEtLPSoqhmtbNpzWN/4bote/pJpN+y5ubpo2z6HlVsc5+RJ1aefVo2LU5061ezLzFTNzf25zfHjqps3m+cFBaotW6r++c9mFB4EKGME4qhL6TQG5GxgRrHXDwIPep+vB1K8z1OA9RW5XigaEFXVt956S9PS0rRz5846ZswY3bp1q/br1087deqk/fv31+3bt6uq6qhRo7Rjx46alpamd911l3o85sepY8eOeujQIfV4PDpgwACdNGmSqqouWrRIO3bsqMePH1dV1W7dumlO0Q90CULh7/ATHo9qz57m4ymi2rixanS0au/eP7eZPFn14EHnNJZCYaFHJy/bpde9Nl+bPzBFm91vtg6PTNPOj8/46XXff3ytb83bqgVe42KxqKqq9yZSVVXvust89hs0MJ99MM+9rm09cCCo0soyIGKOOYOIzAHuVdVFpRy7DBiqqjd7X18PnKWqd4jIAVWtU6ztflUt1Y0lImOBsQBNmzbtsX379l8cX7t27S/KwrqRZ599lvj4+HLXgixdupRnnnmGd999t9TjIfd3yMoy+bOWLDEreFNSoFMnM3R3AbsPHmfm6mxyj+Zx9GQBx/MLSU2pxQVtE2lSz2bVtZyGJUvg889h1y6oW9dEb7VubVxdQQrRLY6ILFbVU/xkAcvGKyKzgdKWAf9JVSdVpItS9lXa2qnqK8ArAOnp6c5ZywBy22238fHHH5fbZu/evfwlSIuL/EJyMlx4odlcSErtWMac09xpGRa30r272UKcgBkQVR14hl1kAMUDmhsDRbPC2SKSoqq7RSQF2HOG13I1MTExXH+aO/NBgwYFSY3FYqkuhHLYx0KgjYi0EJEo4CpgsvfYZKCoQtIYoCIjmjJx0o0XClT392+xWHzDqTDeUSKSgZko/0JEZnj3NxSRqQCqWgDcAcwA1gLjVXW1t4ungEEishEY5H3tEzExMeTm5lbbH1FVJTc3l5gAFZyxWCxVF0cn0YNNenq6Llr0y/n6/Px8MjIyTllLUZ2IiYmhcePGRDowOWexWEKfoE+iu4XIyEhatGjhtAyLxWJxHaE8B2KxWCyWEMYaEIvFYrH4hDUgFovFYvGJajWJLiI5wPbTNiyd+sBeP8pxA/Y9Vw/se64enMl7bqaqiSV3VisDciaIyKLSohCqMvY9Vw/se64eBOI9WxeWxWKxWHzCGhCLxWKx+IQ1IBXnFacFOIB9z9UD+56rB35/z3YOxGKxWCw+YUcgFovFYvEJa0AsFovF4hPWgFQAERkqIutFZJOIPOC0nkAjIk1E5GsRWSsiq0Xkbqc1BQMRCReRpSIyxWktwUBE6ojIJyKyzvu/PttpTYFGRH7v/UyvEpFxIlLl0lCLyBsiskdEVhXbV09EZonIRu9jqRVcK4s1IKdBRMKBF4FhQCpwtYikOqsq4BQA96hqB6A3cHs1eM8Ad2NKB1QXngemq2p7oAtV/L2LSCPgLiBdVTsC4Zg6Q1WNt4ChJfY9AHypqm2AL72vzxhrQE5PL2CTqm5R1TzgQ2CEw5oCiqruVtUl3ueHMT8sjZxVFVhEpDFwIfCa01qCgYjUAvoArwOoap6qHnBUVHCIAGJFJAKowc9VTqsMqjoX2Fdi9wjgbe/zt4GR/riWNSCnpxGws9jrDKr4j2lxRKQ50A340WEpgeY54I+Ax2EdwaIlkAO86XXbvSYiNZ0WFUhUdRfwT2AHsBs4qKoznVUVNJJUdTeYG0SggT86tQbk9Egp+6pF7LOIxAGfAr9T1UNO6wkUInIRsEdVFzutJYhEAN2Bl1S1G3AUP7k1QhWv338E0AJoCNQUkeucVeVurAE5PRlAk2KvG1MFh70lEZFIjPF4X1UnOK0nwJwLXCIi2zAuyv4i8p6zkgJOBpChqkUjy08wBqUqMxDYqqo5qpoPTADOcVhTsMgWkRQA7+Mef3RqDcjpWQi0EZEWIhKFmXSb7LCmgCIigvGNr1XVZ5zWE2hU9UFVbayqzTH/369UtUrfmapqFrBTRNp5dw0A1jgoKRjsAHqLSA3vZ3wAVTxwoBiTgTHe52OASf7otNqXtD0dqlogIncAMzBRG2+o6mqHZQWac4HrgZUissy77yFVneqcJEsAuBN433tjtAW4yWE9AUVVfxSRT4AlmEjDpVTBlCYiMg7oC9QXkQzgMeApYLyI/BpjSC/3y7VsKhOLxWKx+IJ1YVksFovFJ6wBsVgsFotPWANisVgsFp+wBsRisVgsPmENiMVisVh8whoQi8UFiMj3TmuwWEpiw3gtFovF4hN2BGKx+BER6SkiK0QkRkRqemtPdCyl3UQRWew9Pta7r5m3XkN9EQkTkW9FZLD32BHvY4qIzBWRZd6aFucH9x1aLD9jRyAWi58Rkb8CMUAsJt/U/5XSpp6q7hORWEy6nAtUNVdEbsbUcvgRaK2qt3jbH1HVOBG5B4hR1Se9tWpqeFPuWyxBxxoQi8XPeFODLAROAOeoamEpbR4HRnlfNgeGqOp877EZQGuga5FxKGZA+gBvAO8BE1V1WWDfjcVSNtaFZbH4n3pAHBCPGYn8AhHpi8kMe7aqdsHkZIrxHquByfiMt49f4C0W1AfYBbwrIjf4X77FUjGsAbFY/M8rwCPA+8DfSzleG9ivqsdEpD2mbHARf/ee9yjwaskTRaQZpnbJq5iMyVU9BbslhLHZeC0WP+IdERSo6gfeOYrvRaS/qn5VrNl04FYRWQGsB4pcVxcAPYFzVbVQREaLyE2q+maxc/sC94lIPnAEsCMQi2PYORCLxWKx+IR1YVksFovFJ6wBsVgsFotPWANisVgsFp+wBsRisVgsPmENiMVisVh8whoQi8VisfiENSAWi8Vi8Yn/B4VPN4cnbFUxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(x, siny, label=\"sin(x)\")\n",
    "plt.plot(x, cosy, color=\"red\", linestyle=\"--\", label=\"cos(x)\")\n",
    "plt.xlabel(\"x axis\")\n",
    "plt.ylabel(\"y value\")\n",
    "plt.legend()\n",
    "plt.title(\"Welcome to matplotlib world!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "364c47ec",
   "metadata": {},
   "source": [
    "### Scatter Plot 散点图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "3a3466e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2aafe1315e0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "03a899bf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2aafe1a8190>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, siny)\n",
    "plt.scatter(x, cosy, color=\"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "340764f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x2aafe1fdac0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.normal(0, 1, 10000)\n",
    "y = np.random.normal(0, 1, 10000)\n",
    "\n",
    "plt.scatter(x, y, alpha=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "00d04335",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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